A typical AA battery delivers a nearly constant voltage of 1.5 V, and stores abo

Question

A typical AA battery delivers a nearly constant voltage of 1.5 V, and stores about 104 J of energy. Consider a pocket calculator that runs on AA batteries - you or some of your classmates probably have a calculator of this type. a) Estimate the amount of time it takes to use up a new set of batteries in such a calculator. Explain how you came up with your estimate. b) Use your result from part (a) to estimate the resistance of the calculator. Show your work and explain your reasoning. (Hint: think about power. What's the relationship between power and energy?)

Explanation / Answer

a) have to replace batteries once a month generally use it an hour a day 5 days a week
so 4*5*1*60*60=72000 s

b) P = V^2/R
P=E/t
104/(72000)=104^2/R
R=7.488E6 ohms

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